Caoineadh na Páise (Keen/Lament of the Passion) is another name for Caoineadh na dTrí Muire.
Amhrán na Páise (Song of the Passion) is the title of the other song, added in my immediately previous message, the words of which are not a lament as such.

Páis (genitive form Páise) in Irish has a specific meaning, unlike the broader or multiple meanings of the word "passion" in English.